Minimum Tooth Height above Pitch Polygon Calculator

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Design of Chain Drives

Design of Brakes

Design of Flywheel

Design of Friction Clutches

Design of Shafts

Design of Splines

Design of Springs

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Proportions of the Sprocket Wheel

Geometric Relationships for Chain

Polygonal Effect

Power Rating of Roller Chains

✖Pitch of Chain is usually defined as the distance between links, as measured from the center of the roller pin on one link to the center of the roller pin on the next link.ⓘ Pitch of Chain [P]			+10% -10%
✖Roller Radius of Chain is the distance between the center and the point on the circumference of the roller of a chain.ⓘ Roller Radius of Chain [R]			+10% -10%

✖Minimum Tooth Height is the minimum limit of the tooth height on the sprocket wheel.ⓘ Minimum Tooth Height above Pitch Polygon [ha_min]

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Formula

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Minimum Tooth Height above Pitch Polygon

Formula

`"ha"_{"min"} = 0.5*"P"-"R"`

Example

`"5.2mm"=0.5*"22mm"-"5.8mm"`

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Minimum Tooth Height above Pitch Polygon Solution

STEP 0: Pre-Calculation Summary

Formula Used

Minimum Tooth Height = 0.5*Pitch of Chain-Roller Radius of Chain
ha_min = 0.5*P-R
This formula uses 3 Variables

Variables Used

Minimum Tooth Height - (Measured in Meter) - Minimum Tooth Height is the minimum limit of the tooth height on the sprocket wheel.
Pitch of Chain - (Measured in Meter) - Pitch of Chain is usually defined as the distance between links, as measured from the center of the roller pin on one link to the center of the roller pin on the next link.
Roller Radius of Chain - (Measured in Meter) - Roller Radius of Chain is the distance between the center and the point on the circumference of the roller of a chain.

STEP 1: Convert Input(s) to Base Unit

Pitch of Chain: 22 Millimeter --> 0.022 Meter (Check conversion here)
Roller Radius of Chain: 5.8 Millimeter --> 0.0058 Meter (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

ha_min = 0.5*P-R --> 0.5*0.022-0.0058

Evaluating ... ...

ha_min = 0.0052

STEP 3: Convert Result to Output's Unit

0.0052 Meter -->5.2 Millimeter (Check conversion here)

FINAL ANSWER

5.2 Millimeter <-- Minimum Tooth Height

(Calculation completed in 00.004 seconds)

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Home » Physics » Design of Automobile Elements » Design of Chain Drives » Proportions of the Sprocket Wheel » Minimum Tooth Height above Pitch Polygon

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Created by Kethavath Srinath

Osmania University (OU), Hyderabad

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Verified by Urvi Rathod

Vishwakarma Government Engineering College (VGEC), Ahmedabad

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< 22 Proportions of the Sprocket Wheel Calculators

Pitch Circle Diameter given Top Diameter of Sprocket Wheel

Go Sproket Diameter of Pitch Circle = Top Diameter of Sprocket Wheel-Pitch of Chain*(1-(1.6/Number of teeth on sprocket))+2*Roller Radius of Chain

Top Diameter of Sprocket Wheel

Go Top Diameter of Sprocket Wheel = Sproket Diameter of Pitch Circle+Pitch of Chain*(1-(1.6/Number of teeth on sprocket))-2*Roller Radius of Chain

Number of Teeth given Maximum Tooth Height above Pitch Polygon

Go Number of teeth on sprocket = 0.8*Pitch of Chain/(Maximum Sprocket Tooth Height-0.625*Pitch of Chain+Roller Radius of Chain)

Maximum Tooth Height above Pitch Polygon

Go Maximum Sprocket Tooth Height = 0.625*Pitch of Chain-Roller Radius of Chain+(0.8*Pitch of Chain/Number of teeth on sprocket)

Chain Pitch given Maximum Tooth Height above Pitch Polygon

Go Pitch of Chain = Maximum Sprocket Tooth Height/(0.625-Roller Radius of Chain+0.8/Number of teeth on sprocket)

Pitch Circle Diameter given Average Velocity of Chain

Go Sproket Diameter of Pitch Circle = Average Chain Velocity*60/(pi*Speed of chain drive shaft in rpm)

Pitch Circle Diameter given Pitch

Go Sproket Diameter of Pitch Circle = Pitch of Chain/sin(3.035/Number of teeth on sprocket)

Roller Seating Radius given Roller Radius

Go Roller Seating Radius = (1.010*Roller Radius of Chain)+(0.00069*((2*Roller Radius of Chain)^(1/3)))

Tooth Flank Radius

Go Sprocket Tooth Flank Radius = 0.016*Roller Radius of Chain*((Number of teeth on sprocket)^2+180)

Roller Seating Radius given Root Diameter of Sprocket Wheel

Go Roller Seating Radius = (Sproket Diameter of Pitch Circle-Root Diameter of Sprocket Wheel)/2

Pitch Circle Diameter given Root Diameter of Sprocket Wheel

Go Sproket Diameter of Pitch Circle = Root Diameter of Sprocket Wheel+2*Roller Seating Radius

Number of Teeth given Minimum Tooth Flank Radius

Go Number of teeth on sprocket = (Minimum Tooth Flank Radius/(0.24*Roller Radius of Chain))-2

Root Diameter of Sprocket Wheel

Go Root Diameter of Sprocket Wheel = Sproket Diameter of Pitch Circle-2*Roller Seating Radius

Minimum Tooth Flank Radius

Go Minimum Tooth Flank Radius = 0.24*Roller Radius of Chain*(Number of teeth on sprocket+2)

Number of Teeth given Maximum Roller Seating Angle

Go Number of teeth on sprocket = 90/(120-(Maximum Roller Seating Angle*180/pi))

Number of Teeth given Minimum Roller Seating Angle

Go Number of teeth on sprocket = 90/(140-(Minimum Roller Seating Angle*180/pi))

Maximum Roller Seating Angle

Go Maximum Roller Seating Angle = (120-(90/Number of teeth on sprocket))*pi/180

Minimum Roller Seating Angle

Go Minimum Roller Seating Angle = (140-(90/Number of teeth on sprocket))*pi/180

Number of Teeth on Sprocket given Pitch Angle of Sprocket

Go Number of teeth on sprocket = 360/(Pitch Angle of Sprocket*(180/pi))

Minimum Tooth Height above Pitch Polygon

Go Minimum Tooth Height = 0.5*Pitch of Chain-Roller Radius of Chain

Pitch Angle of Sprocket

Go Pitch Angle of Sprocket = (360/Number of teeth on sprocket)/57.24

Minimum Roller Seating Radius

Go Minimum Roller Seating Radius = 2*0.505*Roller Radius of Chain

Minimum Tooth Height above Pitch Polygon Formula

Minimum Tooth Height = 0.5*Pitch of Chain-Roller Radius of Chain
ha_min = 0.5*P-R

Define a Sprocket?

A sprocket, sprocket-wheel, or chainwheel is a profiled wheel with teeth, or cogs, that mesh with a chain, track, or other perforated or indented material. The name 'sprocket' applies generally to any wheel upon which radial projections engage a chain passing over it.

How to Calculate Minimum Tooth Height above Pitch Polygon?

Minimum Tooth Height above Pitch Polygon calculator uses Minimum Tooth Height = 0.5*Pitch of Chain-Roller Radius of Chain to calculate the Minimum Tooth Height, The Minimum Tooth Height above Pitch Polygon formula is defined as minimum height of tooth that can be made on sprocket wheel. Minimum Tooth Height is denoted by ha_min symbol.

How to calculate Minimum Tooth Height above Pitch Polygon using this online calculator? To use this online calculator for Minimum Tooth Height above Pitch Polygon, enter Pitch of Chain (P) & Roller Radius of Chain (R) and hit the calculate button. Here is how the Minimum Tooth Height above Pitch Polygon calculation can be explained with given input values -> 5200 = 0.5*0.022-0.0058.

FAQ

What is Minimum Tooth Height above Pitch Polygon?

The Minimum Tooth Height above Pitch Polygon formula is defined as minimum height of tooth that can be made on sprocket wheel and is represented as ha_min = 0.5*P-R or Minimum Tooth Height = 0.5*Pitch of Chain-Roller Radius of Chain. Pitch of Chain is usually defined as the distance between links, as measured from the center of the roller pin on one link to the center of the roller pin on the next link & Roller Radius of Chain is the distance between the center and the point on the circumference of the roller of a chain.

How to calculate Minimum Tooth Height above Pitch Polygon?

The Minimum Tooth Height above Pitch Polygon formula is defined as minimum height of tooth that can be made on sprocket wheel is calculated using Minimum Tooth Height = 0.5*Pitch of Chain-Roller Radius of Chain. To calculate Minimum Tooth Height above Pitch Polygon, you need Pitch of Chain (P) & Roller Radius of Chain (R). With our tool, you need to enter the respective value for Pitch of Chain & Roller Radius of Chain and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

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